The inverse of the matrix \(\left[ {\begin{array}{*{20}{c}}2&3&4\\4&3&1\\1&2&4\end{array}} \right]\) is

• A. \(\left[ {\begin{array}{*{20}{c}}2&{ - \frac{4}{5}}&{ - \frac{9}{5}}\\{ - 3}&{\frac{4}{5}}&{\frac{{14}}{5}}\\1&{ - \frac{1}{5}}&{ - \frac{6}{5}}\end{array}} \right]\)
• B. \(\left[ {\begin{array}{*{20}{c}}{ - 2}&{\frac{4}{5}}&{\frac{9}{5}}\\3&{ - \frac{4}{5}}&{ - \frac{{14}}{5}}\\{ - 1}&{\frac{1}{5}}&{\frac{6}{5}}\end{array}} \right]\)
• C. \(\left[ {\begin{array}{*{20}{c}}{10}&4&{ - 9}\\{ - 15}&4&{14}\\5&{ - 1}&6\end{array}} \right]\)
• D. \(\left[ {\begin{array}{*{20}{c}}{10}&4&9\\{15}&{ - 4}&{ - 14}\\{ - 5}&1&6\end{array}} \right]\)